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Finding the Third Proportional to 431,817,653 and 940,306,666

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Solution

The third proportional to 431,817,653 and 940,306,666 is: 2,047,569,431.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,817,653 : 940,306,666 = 940,306,666 : x
  2. Step 2: Convert to fraction form
    431,817,653/940,306,666 = 940,306,666/x
  3. Step 3: Cross multiply
    431,817,653x = 940,306,666 × 940,306,666
  4. Step 4: Simplify right side
    431,817,653x = 884,176,626,124,035,584
  5. Step 5: Solve for x
    x = 884,176,626,124,035,584/431,817,653
  6. Step 6: Final answer
    x = 2,047,569,431.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.